Use of hyperbolic time-frequency representations for optimum detection and parameter estimation of hyperbolic chirps

Antonia Papandreou-Suppappola, S. M. Kay, G. F. Boudreaux-Bartels

Research output: Chapter in Book/Report/Conference proceedingConference contribution

18 Scopus citations

Abstract

We propose a time-frequency formulation for the optimum detection of Gaussian signals in white Gaussian noise based on hyperbolic class QTFRs such as the Altes distribution. We apply the detection scheme successfully to hyperbolic chirps and slowly fluctuating hyperbolic point targets, and show that the estimation of the latter's unknown parameters depends upon the hyperbolic ambiguity function. We also propose a general class of receivers in the hyperbolic class that provides a coherent framework between existing classical and new detectors. Furthermore, we propose the estimation of the parameters of hyperbolic chirps using phase unwrapping with linear regression of the phase data that produces simple and unbiased estimators whose variance attains the Cramer-Rao lower bound at signal-to-noise ratios (SNRs) higher than 12 dB. In comparison, we show that the maximum likelihood estimation technique gives accurate estimates at lower SNR (>-1 dB), but at the cost of high computational complexity.

Original languageEnglish (US)
Title of host publicationProc IEEE SP Int Symp Time Freq Time Scale Anal
Editors Anon
PublisherIEEE
Pages369-372
Number of pages4
StatePublished - 1994
Externally publishedYes
EventProceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Philadelphia, PA, USA
Duration: Oct 25 1994Oct 28 1994

Other

OtherProceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
CityPhiladelphia, PA, USA
Period10/25/9410/28/94

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Papandreou-Suppappola, A., Kay, S. M., & Boudreaux-Bartels, G. F. (1994). Use of hyperbolic time-frequency representations for optimum detection and parameter estimation of hyperbolic chirps. In Anon (Ed.), Proc IEEE SP Int Symp Time Freq Time Scale Anal (pp. 369-372). IEEE.